﻿//
//  spectrum_types.cpp
//
//  Created by 渡部 心 on 2016/01/26.
//  Copyright (c) 2016年 渡部 心. All rights reserved.
//

#include "spectrum_types.h"

namespace SLR {
    template struct SLR_API WavelengthSamplesTemplate<float, NumSpectralSamples>;
    template<> SLR_API const uint32_t WavelengthSamplesTemplate<float, NumSpectralSamples>::NumComponents = NumSpectralSamples;

    template struct SLR_API WavelengthSamplesTemplate<double, NumSpectralSamples>;
    template<> SLR_API const uint32_t WavelengthSamplesTemplate<double, NumSpectralSamples>::NumComponents = NumSpectralSamples;

    
    
    template class SLR_API ContinuousSpectrumTemplate<float, NumSpectralSamples>;
    template class SLR_API ContinuousSpectrumTemplate<double, NumSpectralSamples>;
    
    template<typename RealType, uint32_t NumSpectralSamples>
    RGBTemplate<RealType> ContinuousSpectrumTemplate<RealType, NumSpectralSamples>::convertToRGB(SpectrumType spType) const {
        RealType XYZ[3];
        convertToXYZ(XYZ);
        RealType RGB[3];
        switch (spType) {
            case SpectrumType::Reflectance:
                XYZ_to_sRGB_E(XYZ, RGB);
                break;
            case SpectrumType::LightSource:
                XYZ_to_sRGB(XYZ, RGB);
                break;
            case SpectrumType::IndexOfRefraction:
                XYZ_to_sRGB_E(XYZ, RGB);
                break;
            default:
                break;
        }
        RGB[0] = RGB[0] < 0.0f ? 0.0f : RGB[0];
        RGB[1] = RGB[1] < 0.0f ? 0.0f : RGB[1];
        RGB[2] = RGB[2] < 0.0f ? 0.0f : RGB[2];
        
        return RGBTemplate<RealType>(RGB[0], RGB[1], RGB[2]);
    }


    
    template class SLR_API RegularContinuousSpectrumTemplate<float, NumSpectralSamples>;
    template class SLR_API RegularContinuousSpectrumTemplate<double, NumSpectralSamples>;
    
    template <typename RealType, uint32_t NumSpectralSamples>
    void RegularContinuousSpectrumTemplate<RealType, NumSpectralSamples>::calcBounds(uint32_t numBins, RealType* bounds) const {
        const RealType BinWidth = (WavelengthHighBound - WavelengthLowBound) / numBins;
        const RealType SampleInterval = (m_maxLambda - m_minLambda) / (m_numSamples - 1);
        
        for (int binIdx = 0; binIdx < numBins; ++binIdx) {
            RealType wlLowInBin = WavelengthLowBound + BinWidth * binIdx;
            RealType wlHighInBin = WavelengthLowBound + BinWidth * (binIdx + 1);
            
            int lowestWlIdxInBin = std::max(0, (int)((wlLowInBin - m_minLambda) / SampleInterval) + 1);
            int highestWlIdxInBin = std::min((int)(m_numSamples - 1), (int)((wlHighInBin - m_minLambda) / SampleInterval));
            int highestWlIdxOutBin = std::max(0, lowestWlIdxInBin - 1);
            int lowestWlIdxOutBin = std::min((int)(m_numSamples - 1), highestWlIdxInBin + 1);
            RealType lerpParamAtLowBoundary = (wlLowInBin - (m_minLambda + highestWlIdxOutBin * SampleInterval)) / SampleInterval;
            RealType lerpParamAtHighBoundary = (wlHighInBin - (m_minLambda + highestWlIdxInBin * SampleInterval)) / SampleInterval;
            
            RealType maxValue = -INFINITY;
            RealType lerpedValueAtLow = m_values[highestWlIdxOutBin] * (1 - lerpParamAtLowBoundary) + m_values[lowestWlIdxInBin] * lerpParamAtLowBoundary;
            maxValue = std::max(maxValue, lerpedValueAtLow);
            for (int wlIdx = lowestWlIdxInBin; wlIdx <= highestWlIdxInBin; ++wlIdx)
                maxValue = std::max(maxValue, m_values[wlIdx]);
            RealType lerpedValueAtHigh = m_values[highestWlIdxInBin] * (1 - lerpParamAtHighBoundary) + m_values[lowestWlIdxOutBin] * lerpParamAtHighBoundary;
            maxValue = std::max(maxValue, lerpedValueAtHigh);
            
            bounds[binIdx] = maxValue;
        }
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    SampledSpectrumTemplate<RealType, NumSpectralSamples> 
    RegularContinuousSpectrumTemplate<RealType, NumSpectralSamples>::evaluate(const WavelengthSamplesTemplate<RealType, NumSpectralSamples> &wls) const {
        SampledSpectrumTemplate<RealType, NumSpectralSamples> ret(0.0f);
        for (int i = 0; i < WavelengthSamplesTemplate<RealType, NumSpectralSamples>::NumComponents; ++i) {
            RealType binF = (wls[i] - m_minLambda) / (m_maxLambda - m_minLambda) * (m_numSamples - 1);
            if (binF <= 0.0f) {
                ret[i] = m_values[0];
                continue;
            }
            else if (binF >= m_numSamples - 1) {
                ret[i] = m_values[m_numSamples - 1];
                continue;
            }
            int32_t bin = int32_t(binF);
            SLRAssert(bin >= 0 && bin < m_numSamples - 1, "invalid bin index.");
            RealType t = binF - bin;
            ret[i] = (1 - t) * m_values[bin] + t * m_values[bin + 1];
        }
        return ret;
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    void RegularContinuousSpectrumTemplate<RealType, NumSpectralSamples>::evaluate(const RealType* wavelengths, uint32_t numSamples, RealType* values) const {
        for (int i = 0; i < numSamples; ++i) {
            RealType binF = (wavelengths[i] - m_minLambda) / (m_maxLambda - m_minLambda) * (m_numSamples - 1);
            if (binF <= 0.0f) {
                values[i] = m_values[0];
                continue;
            }
            else if (binF >= m_numSamples - 1) {
                values[i] = m_values[m_numSamples - 1];
                continue;
            }
            int32_t bin = int32_t(binF);
            SLRAssert(bin >= 0 && bin < m_numSamples - 1, "invalid bin index.");
            RealType t = binF - bin;
            values[i] = (1 - t) * m_values[bin] + t * m_values[bin + 1];
        }
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    void RegularContinuousSpectrumTemplate<RealType, NumSpectralSamples>::convertToXYZ(RealType XYZ[3]) const {
        const RealType CMFBinWidth = (WavelengthHighBound - WavelengthLowBound) / (NumCMFSamples - 1);
        const RealType binWidth = (m_maxLambda - m_minLambda) / (m_numSamples - 1);
        uint32_t curCMFIdx = 0;
        uint32_t baseIdx = 0;
        RealType curWL = std::min<RealType>(WavelengthLowBound, m_minLambda);
        RealType prev_xbarVal = 0, prev_ybarVal = 0, prev_zbarVal = 0;
        RealType prevValue = 0;
        RealType halfWidth = 0;
        CompensatedSum<RealType> X(0), Y(0), Z(0);
        while (true) {
            RealType xbarValue, ybarValue, zbarValue;
            if (curWL < WavelengthLowBound) {
                xbarValue = 0;
                ybarValue = 0;
                zbarValue = 0;
            }
            else if (curWL == WavelengthLowBound + curCMFIdx * CMFBinWidth) {
                xbarValue = xbarReferenceValues[curCMFIdx];
                ybarValue = ybarReferenceValues[curCMFIdx];
                zbarValue = zbarReferenceValues[curCMFIdx];
                ++curCMFIdx;
            }
            else {
                uint32_t idx = std::min(uint32_t((curWL - WavelengthLowBound) / CMFBinWidth), NumCMFSamples - 1);
                RealType CMFBaseWL = WavelengthLowBound + idx * CMFBinWidth;
                RealType t = (curWL - CMFBaseWL) / CMFBinWidth;
                xbarValue = (1 - t) * xbarReferenceValues[idx] + t * xbarReferenceValues[idx + 1];
                ybarValue = (1 - t) * ybarReferenceValues[idx] + t * ybarReferenceValues[idx + 1];
                zbarValue = (1 - t) * zbarReferenceValues[idx] + t * zbarReferenceValues[idx + 1];
            }
            
            RealType value;
            if (curWL < m_minLambda) {
                value = m_values[0];
            }
            else if (curWL > m_maxLambda) {
                value = m_values[m_numSamples - 1];
            }
            else if (curWL == m_minLambda + baseIdx * binWidth) {
                value = m_values[baseIdx];
                ++baseIdx;
            }
            else {
                uint32_t idx = std::min(uint32_t((curWL - m_minLambda) / binWidth), m_numSamples - 1);
                RealType baseWL = m_minLambda + idx * binWidth;
                RealType t = (curWL - baseWL) / binWidth;
                value = (1 - t) * m_values[idx] + t * m_values[idx + 1];
            }
            
            RealType avgValue = (prevValue + value) * 0.5f;
            X += avgValue * (prev_xbarVal + xbarValue) * halfWidth;
            Y += avgValue * (prev_ybarVal + ybarValue) * halfWidth;
            Z += avgValue * (prev_zbarVal + zbarValue) * halfWidth;
            
            prev_xbarVal = xbarValue;
            prev_ybarVal = ybarValue;
            prev_zbarVal = zbarValue;
            prevValue = value;
            RealType prevWL = curWL;
            curWL = std::min(WavelengthLowBound + curCMFIdx * CMFBinWidth,
                             baseIdx < m_numSamples ? (m_minLambda + baseIdx * binWidth) : INFINITY);
            halfWidth = (curWL - prevWL) * 0.5f;
            
            if (curCMFIdx == NumCMFSamples)
                break;
        }
        XYZ[0] = X / integralCMF;
        XYZ[1] = Y / integralCMF;
        XYZ[2] = Z / integralCMF;
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    ContinuousSpectrumTemplate<RealType, NumSpectralSamples>* 
    RegularContinuousSpectrumTemplate<RealType, NumSpectralSamples>::createScaledAndOffset(RealType scale, RealType offset) const {
        RealType* sValues = new RealType[m_numSamples];
        for (int i = 0; i < m_numSamples; ++i)
            sValues[i] = scale * m_values[i] + offset;
        ContinuousSpectrumTemplate<RealType, NumSpectralSamples>* ret = new RegularContinuousSpectrumTemplate(m_minLambda, m_maxLambda, sValues, m_numSamples);
        delete[] sValues;
        return ret;
    }

    
    
    template class SLR_API IrregularContinuousSpectrumTemplate<float, NumSpectralSamples>;
    template class SLR_API IrregularContinuousSpectrumTemplate<double, NumSpectralSamples>;
    
    template <typename RealType, uint32_t NumSpectralSamples>
    void IrregularContinuousSpectrumTemplate<RealType, NumSpectralSamples>::calcBounds(uint32_t numBins, RealType* bounds) const {
        const RealType BinWidth = (WavelengthHighBound - WavelengthLowBound) / numBins;
        
        int lastWlIdx = 0;
        for (int binIdx = 0; binIdx < numBins; ++binIdx) {
            RealType wlLowInBin = WavelengthLowBound + BinWidth * binIdx;
            RealType wlHighInBin = WavelengthLowBound + BinWidth * (binIdx + 1);
            
            int highestWlIdxOutBin = 0;
            for (int wlIdx = lastWlIdx; wlIdx < m_numSamples - 1; ++wlIdx) {
                if (m_lambdas[wlIdx + 1] >= wlLowInBin) {
                    highestWlIdxOutBin = wlIdx;
                    lastWlIdx = wlIdx;
                    break;
                }
            }
            RealType highestWlOutBin = m_lambdas[highestWlIdxOutBin];
            int lowestWlIdxInBin = std::min((int)m_numSamples - 1, highestWlIdxOutBin + 1);
            RealType lowestWlInBin = m_lambdas[lowestWlIdxInBin];
            
            int highestWlIdxInBin = 0;
            for (int wlIdx = lastWlIdx; wlIdx < m_numSamples - 1; ++wlIdx) {
                if (m_lambdas[wlIdx + 1] >= wlHighInBin) {
                    highestWlIdxInBin = wlIdx;
                    lastWlIdx = wlIdx;
                    break;
                }
            }
            RealType highestWlInBin = m_lambdas[highestWlIdxInBin];
            int lowestWlIdxOutBin = std::min((int)(m_numSamples - 1), highestWlIdxInBin + 1);
            RealType lowestWlOutBin = m_lambdas[lowestWlIdxOutBin]; 
            
            RealType lerpParamAtLowBoundary = (wlLowInBin - highestWlOutBin) / (lowestWlInBin - highestWlOutBin);
            RealType lerpParamAtHighBoundary = (wlHighInBin - highestWlInBin) / (lowestWlOutBin - highestWlInBin);
            if (lowestWlIdxInBin == highestWlIdxOutBin)
                lerpParamAtLowBoundary = 0.0f;
            if (highestWlIdxInBin == lowestWlIdxOutBin)
                lerpParamAtHighBoundary = 0.0f;
            
            RealType maxValue = -INFINITY;
            RealType lerpedValueAtLow = m_values[highestWlIdxOutBin] * (1 - lerpParamAtLowBoundary) + m_values[lowestWlIdxInBin] * lerpParamAtLowBoundary;
            maxValue = std::max(maxValue, lerpedValueAtLow);
            for (int wlIdx = lowestWlIdxInBin; wlIdx <= highestWlIdxInBin; ++wlIdx)
                maxValue = std::max(maxValue, m_values[wlIdx]);
            RealType lerpedValueAtHigh = m_values[highestWlIdxInBin] * (1 - lerpParamAtHighBoundary) + m_values[lowestWlIdxOutBin] * lerpParamAtHighBoundary;
            maxValue = std::max(maxValue, lerpedValueAtHigh);
            
            bounds[binIdx] = maxValue;
        }
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    SampledSpectrumTemplate<RealType, NumSpectralSamples> 
    IrregularContinuousSpectrumTemplate<RealType, NumSpectralSamples>::evaluate(const WavelengthSamplesTemplate<RealType, NumSpectralSamples> &wls) const {
        SampledSpectrumTemplate<RealType, NumSpectralSamples> ret(0.0f);
        uint32_t searchBase = 0;
        for (int i = 0; i < WavelengthSamplesTemplate<RealType, NumSpectralSamples>::NumComponents; ++i) {
            int32_t lowIdx = std::max((int32_t)std::distance(m_lambdas, std::lower_bound(m_lambdas + searchBase, m_lambdas + m_numSamples, wls[i])) - 1, 0);
            searchBase = lowIdx;
            if (lowIdx >= m_numSamples - 1) {
                ret[i] = m_values[m_numSamples - 1];
                continue;
            }
            RealType t = (wls[i] - m_lambdas[lowIdx]) / (m_lambdas[lowIdx + 1] - m_lambdas[lowIdx]);
            if (t <= 0.0f) {
                ret[i] = m_values[0];
                continue;
            }
            SLRAssert(t >= 0 && t <= 1, "invalid interpolation coefficient.");
            ret[i] = (1 - t) * m_values[lowIdx] + t * m_values[lowIdx + 1];
        }
        return ret;
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    void IrregularContinuousSpectrumTemplate<RealType, NumSpectralSamples>::evaluate(const RealType* wavelengths, uint32_t numSamples, RealType* values) const {
        uint32_t searchBase = 0;
        for (int i = 0; i < numSamples; ++i) {
            int32_t lowIdx = std::max((int32_t)std::distance(m_lambdas, std::lower_bound(m_lambdas + searchBase, m_lambdas + m_numSamples, wavelengths[i])) - 1, 0);
            searchBase = lowIdx;
            if (lowIdx >= m_numSamples - 1) {
                values[i] = m_values[m_numSamples - 1];
                continue;
            }
            RealType t = (wavelengths[i] - m_lambdas[lowIdx]) / (m_lambdas[lowIdx + 1] - m_lambdas[lowIdx]);
            if (t <= 0.0f) {
                values[i] = m_values[0];
                continue;
            }
            SLRAssert(t >= 0 && t <= 1, "invalid interpolation coefficient.");
            values[i] = (1 - t) * m_values[lowIdx] + t * m_values[lowIdx + 1];
        }
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    void IrregularContinuousSpectrumTemplate<RealType, NumSpectralSamples>::convertToXYZ(RealType XYZ[3]) const {  
        const RealType CMFBinWidth = (WavelengthHighBound - WavelengthLowBound) / (NumCMFSamples - 1);
        uint32_t curCMFIdx = 0;
        uint32_t baseIdx = 0;
        RealType curWL = std::min<RealType>(WavelengthLowBound, m_lambdas[0]);
        RealType prev_xbarVal = 0, prev_ybarVal = 0, prev_zbarVal = 0;
        RealType prevValue = 0;
        RealType halfWidth = 0;
        CompensatedSum<RealType> X(0), Y(0), Z(0);
        while (true) {
            RealType xbarValue, ybarValue, zbarValue;
            if (curWL < WavelengthLowBound) {
                xbarValue = 0.0f;
                ybarValue = 0.0f;
                zbarValue = 0.0f;
            }
            else if (curWL == WavelengthLowBound + curCMFIdx * CMFBinWidth) {
                xbarValue = xbarReferenceValues[curCMFIdx];
                ybarValue = ybarReferenceValues[curCMFIdx];
                zbarValue = zbarReferenceValues[curCMFIdx];
                ++curCMFIdx;
            }
            else {
                uint32_t idx = std::min(uint32_t((curWL - WavelengthLowBound) / CMFBinWidth), NumCMFSamples - 1);
                RealType CMFBaseWL = WavelengthLowBound + idx * CMFBinWidth;
                RealType t = (curWL - CMFBaseWL) / CMFBinWidth;
                xbarValue = (1 - t) * xbarReferenceValues[idx] + t * xbarReferenceValues[idx + 1];
                ybarValue = (1 - t) * ybarReferenceValues[idx] + t * ybarReferenceValues[idx + 1];
                zbarValue = (1 - t) * zbarReferenceValues[idx] + t * zbarReferenceValues[idx + 1];
            }
            
            RealType value;
            if (curWL < m_lambdas[0]) {
                value = m_values[0];
            }
            else if (curWL > m_lambdas[m_numSamples - 1]) {
                value = m_values[m_numSamples - 1];
            }
            else if (curWL == m_lambdas[baseIdx]) {
                value = m_values[baseIdx];
                ++baseIdx;
            }
            else {
                const RealType* lb = std::lower_bound(m_lambdas + std::max((int32_t)baseIdx - 1, 0), m_lambdas + m_numSamples, curWL);
                uint32_t idx = std::max(int32_t(std::distance<const RealType*>(m_lambdas, lb)) - 1, 0);
                RealType t = (curWL - m_lambdas[idx]) / (m_lambdas[idx + 1] - m_lambdas[idx]);
                value = (1 - t) * m_values[idx] + t * m_values[idx + 1];
            }
            
            RealType avgValue = (prevValue + value) * 0.5f;
            X += avgValue * (prev_xbarVal + xbarValue) * halfWidth;
            Y += avgValue * (prev_ybarVal + ybarValue) * halfWidth;
            Z += avgValue * (prev_zbarVal + zbarValue) * halfWidth;
            
            prev_xbarVal = xbarValue;
            prev_ybarVal = ybarValue;
            prev_zbarVal = zbarValue;
            prevValue = value;
            RealType prevWL = curWL;
            curWL = std::min(WavelengthLowBound + curCMFIdx * CMFBinWidth, baseIdx < m_numSamples ? m_lambdas[baseIdx] : INFINITY);
            halfWidth = (curWL - prevWL) * 0.5f;
            
            if (curCMFIdx == NumCMFSamples)
                break;
        }
        XYZ[0] = X / integralCMF;
        XYZ[1] = Y / integralCMF;
        XYZ[2] = Z / integralCMF;
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    ContinuousSpectrumTemplate<RealType, NumSpectralSamples>* 
    IrregularContinuousSpectrumTemplate<RealType, NumSpectralSamples>::createScaledAndOffset(RealType scale, RealType offset) const {
        RealType* sValues = new RealType[m_numSamples];
        for (int i = 0; i < m_numSamples; ++i)
            sValues[i] = scale * m_values[i] + offset;
        ContinuousSpectrumTemplate<RealType, NumSpectralSamples>* ret = new IrregularContinuousSpectrumTemplate(m_lambdas, sValues, m_numSamples);
        delete[] sValues;
        return ret;
    }

    
    
    template class SLR_API UpsampledContinuousSpectrumTemplate<float, NumSpectralSamples>;
    template <> const float UpsampledContinuousSpectrumTemplate<float, NumSpectralSamples>::MinWavelength = 360;
    template <> const float UpsampledContinuousSpectrumTemplate<float, NumSpectralSamples>::MaxWavelength = 830;
    template <> const uint32_t UpsampledContinuousSpectrumTemplate<float, NumSpectralSamples>::NumWavelengthSamples = 95;
    template <> const uint32_t UpsampledContinuousSpectrumTemplate<float, NumSpectralSamples>::GridWidth = 12;
    template <> const uint32_t UpsampledContinuousSpectrumTemplate<float, NumSpectralSamples>::GridHeight = 14;
    //template <> const float UpsampledContinuousSpectrumTemplate<float, NumSpectralSamples>::EqualEnergyReflectance = 0.009355121400914532;

    template class SLR_API UpsampledContinuousSpectrumTemplate<double, NumSpectralSamples>;
    template <> const double UpsampledContinuousSpectrumTemplate<double, NumSpectralSamples>::MinWavelength = 360;
    template <> const double UpsampledContinuousSpectrumTemplate<double, NumSpectralSamples>::MaxWavelength = 830;
    template <> const uint32_t UpsampledContinuousSpectrumTemplate<double, NumSpectralSamples>::NumWavelengthSamples = 95;
    template <> const uint32_t UpsampledContinuousSpectrumTemplate<double, NumSpectralSamples>::GridWidth = 12;
    template <> const uint32_t UpsampledContinuousSpectrumTemplate<double, NumSpectralSamples>::GridHeight = 14;
    //template <> const double UpsampledContinuousSpectrumTemplate<double, NumSpectralSamples>::EqualEnergyReflectance = 0.009355121400914532;

    // The following static variable declarations are at the end of this file.
    // spectrum_grid[];
    // spectrum_data_points[];
    
    template <typename RealType, uint32_t NumSpectralSamples>
    void UpsampledContinuousSpectrumTemplate<RealType, NumSpectralSamples>::computeAdjacents(RealType u, RealType v) {
        u = std::clamp<RealType>(u, 0.0f, GridWidth);
        v = std::clamp<RealType>(v, 0.0f, GridHeight);
        
        int32_t ui = (int32_t)u;
        int32_t vi = (int32_t)v;
        SLRAssert(ui < GridWidth && vi < GridHeight, "out of grid: %d, %d", ui, vi);
        
        const int32_t cellIdx = ui + GridWidth * vi;
        SLRAssert(cellIdx >= 0 && cellIdx < GridWidth * GridHeight, "cellIdx is out of grid: %d", cellIdx);
        
        const spectrum_grid_cell_t* cell = spectrum_grid + cellIdx;
        const uint8_t* indices = cell->idx;
        const uint8_t numPoints = cell->num_points;
        
        if (cell->inside) { // fast path for normal inner quads:
            // the layout of the vertices in the quad is:
            //  2  3
            //  0  1
            RealType s = u - ui;
            RealType t = v - vi;
            SLRAssert(s >= 0 && s <= 1 && t >= 0 && t <= 1, "invalid coordinate.");
            m_adjIndices = (((uint32_t)indices[3] << 24) |
                            ((uint32_t)indices[2] << 16) |
                            ((uint32_t)indices[1] << 8) |
                            ((uint32_t)indices[0] << 0));
            m_s = s;
            m_t = t;
        }
        else {
            // need to go through triangulation :(
            // we get the indices in such an order that they form a triangle fan around idx[0].
            // compute barycentric coordinates of our xy* point for all triangles in the fan:
            const float ex = u - spectrum_data_points[indices[0]].uv[0];
            const float ey = v - spectrum_data_points[indices[0]].uv[1];
            float e0x = spectrum_data_points[indices[1]].uv[0] - spectrum_data_points[indices[0]].uv[0];
            float e0y = spectrum_data_points[indices[1]].uv[1] - spectrum_data_points[indices[0]].uv[1];
            float uu = e0x * ey - ex * e0y;
            for (int i = 1; i < numPoints; ++i) {
                uint32_t idx = indices[i % (numPoints - 1) + 1];
                float e1x = spectrum_data_points[idx].uv[0] - spectrum_data_points[indices[0]].uv[0];
                float e1y = spectrum_data_points[idx].uv[1] - spectrum_data_points[indices[0]].uv[1];
                float vv = ex * e1y - e1x * ey;
                
                // TODO: with some sign magic, this division could be deferred to the last iteration!
                const float area = e0x * e1y - e1x * e0y;
                // normalise
                const float b0 = uu / area;
                const float b1 = vv / area;
                float b2 = 1.0f - b0 - b1;
                // outside spectral locus (quantized version at least) or outside grid
                //if (b0 < 0.0 || b1 < 0.0 || b2 < 0.0) {
                if (b0 < -1e-6 || b1 < -1e-6 || b2 < -1e-6) {
                    uu = -vv;
                    e0x = e1x;
                    e0y = e1y;
                    continue;
                }
                
                m_adjIndices = (((uint32_t)UINT8_MAX << 24) |
                                ((uint32_t)indices[0] << 16) |
                                ((uint32_t)indices[i] << 8) |
                                ((uint32_t)idx << 0));
                m_s = b0;
                m_t = b1;
                break;
            }
        }
        SLRAssert((m_adjIndices && 0xFF) != UINT8_MAX, "Adjacent points must be selected at this point.");
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    UpsampledContinuousSpectrumTemplate<RealType, NumSpectralSamples>::UpsampledContinuousSpectrumTemplate(SpectrumType spType, ColorSpace space, RealType e0, RealType e1, RealType e2) {
        RealType x, y, brightness;
        switch (space) {
            case ColorSpace::sRGB_NonLinear: {
                e0 = sRGB_degamma(e0);
                e1 = sRGB_degamma(e1);
                e2 = sRGB_degamma(e2);
                // pass to the sRGB process.
            }
            case ColorSpace::sRGB: {
                RealType RGB[3] = {e0, e1, e2};
                RealType XYZ[3];
                switch (spType) {
                    case SpectrumType::Reflectance:
                        sRGB_E_to_XYZ(RGB, XYZ);
                        break;
                    case SpectrumType::LightSource:
                        sRGB_to_XYZ(RGB, XYZ);
                        break;
                    default:
                        SLRAssert(false, "Invalid Spectrum Type");
                        break;
                }
                e0 = XYZ[0];
                e1 = XYZ[1];
                e2 = XYZ[2];
                // pass to the XYZ process.
            }
            case ColorSpace::XYZ: {
                brightness = e0 + e1 + e2;
                if (brightness == 0) {
                    m_scale = 0;
                    computeAdjacents(6, 4);
                    return;
                }
                x = e0 / brightness;
                y = e1 / brightness;
                break;
            }
            case ColorSpace::xyY: {
                x = e0;
                y = e1;
                brightness = e2 / e1;
                break;
            }
            default:
                SLRAssert(false, "Invalid color space is specified.");
                break;
        }
        // TODO: Contain a factor for solid of natural reflectance.
        //if (spType == SpectrumType::Reflectance)
        //    brightness = std::min(brightness, evaluateMaximumBrightness(x, y));
        m_scale = brightness / EqualEnergyReflectance;
        RealType xy[2] = {x, y};
        RealType uv[2];
        xy_to_uv(xy, uv);
        SLRAssert(!std::isinf(uv[0]) && !std::isnan(uv[0]) &&
                  !std::isinf(uv[1]) && !std::isnan(uv[1]) &&
                  !std::isinf(m_scale) && !std::isnan(m_scale), "Invalid value.");
        
        computeAdjacents(uv[0], uv[1]);
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    void UpsampledContinuousSpectrumTemplate<RealType, NumSpectralSamples>::calcBounds(uint32_t numBins, RealType* bounds) const {
        uint8_t adjIndices[4];
        adjIndices[0] = (m_adjIndices >> 0) & 0xFF;
        adjIndices[1] = (m_adjIndices >> 8) & 0xFF;
        adjIndices[2] = (m_adjIndices >> 16) & 0xFF;
        adjIndices[3] = (m_adjIndices >> 24) & 0xFF;
        
        int numAdjacents;
        float weights[4];
        if (adjIndices[3] != UINT8_MAX) {
            weights[0] = (1 - m_s) * (1 - m_t);
            weights[1] = m_s * (1 - m_t);
            weights[2] = (1 - m_s) * m_t;
            weights[3] = m_s * m_t;
            numAdjacents = 4;
        }
        else {
            weights[0] = m_s;
            weights[1] = m_t;
            weights[2] = 1.0f - m_s - m_t;
            numAdjacents = 3;
        }
        
        const RealType BinWidth = (WavelengthHighBound - WavelengthLowBound) / numBins;
        const RealType SampleInterval = (MaxWavelength - MinWavelength) / (NumWavelengthSamples - 1);
        
        for (int binIdx = 0; binIdx < numBins; ++binIdx) {
            RealType wlLowInBin = WavelengthLowBound + BinWidth * binIdx;
            RealType wlHighInBin = WavelengthLowBound + BinWidth * (binIdx + 1);
            
            int lowestWlIdxInBin = std::max(0, (int)((wlLowInBin - MinWavelength) / SampleInterval) + 1);
            int highestWlIdxInBin = std::min((int)(NumWavelengthSamples - 1), (int)((wlHighInBin - MinWavelength) / SampleInterval));
            int highestWlIdxOutBin = std::max(0, lowestWlIdxInBin - 1);
            int lowestWlIdxOutBin = std::min((int)(NumWavelengthSamples - 1), highestWlIdxInBin + 1);
            RealType lerpParamAtLowBoundary = (wlLowInBin - (MinWavelength + highestWlIdxOutBin * SampleInterval)) / SampleInterval;
            RealType lerpParamAtHighBoundary = (wlHighInBin - (MinWavelength + highestWlIdxInBin * SampleInterval)) / SampleInterval;
            
            RealType maxValue = -INFINITY;
            RealType lerpedValueAtLow = 0;
            for (int i = 0; i < numAdjacents; ++i) {
                const RealType* spectrum = spectrum_data_points[adjIndices[i]].spectrum;
                lerpedValueAtLow += weights[i] * (spectrum[highestWlIdxOutBin] * (1 - lerpParamAtLowBoundary) + spectrum[lowestWlIdxInBin] * lerpParamAtLowBoundary);
            }
            maxValue = std::max(maxValue, lerpedValueAtLow);
            for (int wlIdx = lowestWlIdxInBin; wlIdx <= highestWlIdxInBin; ++wlIdx) {
                RealType value = 0;
                for (int i = 0; i < numAdjacents; ++i) {
                    const RealType* spectrum = spectrum_data_points[adjIndices[i]].spectrum;
                    lerpedValueAtLow += weights[i] * spectrum[wlIdx];
                }
                maxValue = std::max(maxValue, value);
            }
            RealType lerpedValueAtHigh = 0;
            for (int i = 0; i < numAdjacents; ++i) {
                const RealType* spectrum = spectrum_data_points[adjIndices[i]].spectrum;
                lerpedValueAtHigh += weights[i] * (spectrum[highestWlIdxInBin] * (1 - lerpParamAtHighBoundary) + spectrum[lowestWlIdxOutBin] * lerpParamAtHighBoundary);
            }
            maxValue = std::max(maxValue, lerpedValueAtHigh);
            
            bounds[binIdx] = maxValue;
        }
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    SampledSpectrumTemplate<RealType, NumSpectralSamples> 
    UpsampledContinuousSpectrumTemplate<RealType, NumSpectralSamples>::evaluate(const WavelengthSamplesTemplate<RealType, NumSpectralSamples> &wls) const {
        uint8_t adjIndices[4];
        adjIndices[0] = (m_adjIndices >> 0) & 0xFF;
        adjIndices[1] = (m_adjIndices >> 8) & 0xFF;
        adjIndices[2] = (m_adjIndices >> 16) & 0xFF;
        adjIndices[3] = (m_adjIndices >> 24) & 0xFF;
        
        int numAdjacents;
        float weights[4];
        if (adjIndices[3] != UINT8_MAX) {
            weights[0] = (1 - m_s) * (1 - m_t);
            weights[1] = m_s * (1 - m_t);
            weights[2] = (1 - m_s) * m_t;
            weights[3] = m_s * m_t;
            numAdjacents = 4;
        }
        else {
            weights[0] = m_s;
            weights[1] = m_t;
            weights[2] = 1.0f - m_s - m_t;
            numAdjacents = 3;
        }
        
        SampledSpectrumTemplate<RealType, NumSpectralSamples> ret(0.0);
        for (int i = 0; i < WavelengthSamplesTemplate<RealType, NumSpectralSamples>::NumComponents; ++i) {
            RealType lambda = wls[i];
            RealType p = (lambda - MinWavelength) / (MaxWavelength - MinWavelength);
            p = std::clamp<RealType>(p, 0.0f, 1.0f);
            RealType sBinF = p * (NumWavelengthSamples - 1);
            uint32_t sBin = std::min((uint32_t)sBinF, NumWavelengthSamples - 1);
            uint32_t sBinNext = std::min(sBin + 1, NumWavelengthSamples - 1);
            RealType t = sBinF - sBin;
            for (int j = 0; j < numAdjacents; ++j) {
                const RealType* spectrum = spectrum_data_points[adjIndices[j]].spectrum;
                ret[i] += weights[j] * (spectrum[sBin] * (1 - t) + spectrum[sBinNext] * t);
            }
        }
        
        return ret * m_scale;
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    void UpsampledContinuousSpectrumTemplate<RealType, NumSpectralSamples>::evaluate(const RealType* wavelengths, uint32_t numSamples, RealType* values) const {
        uint8_t adjIndices[4];
        adjIndices[0] = (m_adjIndices >> 0) & 0xFF;
        adjIndices[1] = (m_adjIndices >> 8) & 0xFF;
        adjIndices[2] = (m_adjIndices >> 16) & 0xFF;
        adjIndices[3] = (m_adjIndices >> 24) & 0xFF;
        
        int numAdjacents;
        float weights[4];
        if (adjIndices[3] != UINT8_MAX) {
            weights[0] = (1 - m_s) * (1 - m_t);
            weights[1] = m_s * (1 - m_t);
            weights[2] = (1 - m_s) * m_t;
            weights[3] = m_s * m_t;
            numAdjacents = 4;
        }
        else {
            weights[0] = m_s;
            weights[1] = m_t;
            weights[2] = 1.0f - m_s - m_t;
            numAdjacents = 3;
        }
        
        for (int i = 0; i < numSamples; ++i)
            values[i] = 0;
        for (int i = 0; i < numSamples; ++i) {
            RealType lambda = wavelengths[i];
            RealType p = (lambda - MinWavelength) / (MaxWavelength - MinWavelength);
            p = std::clamp<RealType>(p, 0.0f, 1.0f);
            RealType sBinF = p * (NumWavelengthSamples - 1);
            uint32_t sBin = std::min((uint32_t)sBinF, NumWavelengthSamples - 1);
            uint32_t sBinNext = std::min(sBin + 1, NumWavelengthSamples - 1);
            RealType t = sBinF - sBin;
            for (int j = 0; j < numAdjacents; ++j) {
                const RealType* spectrum = spectrum_data_points[adjIndices[j]].spectrum;
                values[i] += weights[j] * (spectrum[sBin] * (1 - t) + spectrum[sBinNext] * t);
            }
        }
        
        for (int i = 0; i < numSamples; ++i)
            values[i] *= m_scale;
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    void UpsampledContinuousSpectrumTemplate<RealType, NumSpectralSamples>::convertToXYZ(RealType XYZ[3]) const {
        RealType values[NumWavelengthSamples];
        
        uint8_t adjIndices[4];
        adjIndices[0] = (m_adjIndices >> 0) & 0xFF;
        adjIndices[1] = (m_adjIndices >> 8) & 0xFF;
        adjIndices[2] = (m_adjIndices >> 16) & 0xFF;
        adjIndices[3] = (m_adjIndices >> 24) & 0xFF;
        
        int numAdjacents;
        float weights[4];
        if (adjIndices[3] != UINT8_MAX) {
            weights[0] = (1 - m_s) * (1 - m_t);
            weights[1] = m_s * (1 - m_t);
            weights[2] = (1 - m_s) * m_t;
            weights[3] = m_s * m_t;
            numAdjacents = 4;
        }
        else {
            weights[0] = m_s;
            weights[1] = m_t;
            weights[2] = 1.0f - m_s - m_t;
            numAdjacents = 3;
        }
        
        for (int i = 0; i < NumWavelengthSamples; ++i) {
            values[i] = 0;
            for (int j = 0; j < numAdjacents; ++j) {
                const RealType* spectrum = spectrum_data_points[adjIndices[j]].spectrum;
                values[i] += weights[j] * spectrum[i];
            }
            values[i] *= m_scale;
        }
        
        const RealType CMFBinWidth = (WavelengthHighBound - WavelengthLowBound) / (NumCMFSamples - 1);
        const RealType binWidth = (MaxWavelength - MinWavelength) / (NumWavelengthSamples - 1);
        uint32_t curCMFIdx = 0;
        uint32_t baseIdx = 0;
        RealType curWL = WavelengthLowBound;
        RealType prev_xbarVal = 0, prev_ybarVal = 0, prev_zbarVal = 0;
        RealType prevValue = 0;
        RealType halfWidth = 0;
        CompensatedSum<RealType> X(0), Y(0), Z(0);
        while (true) {
            RealType xbarValue, ybarValue, zbarValue;
            if (curWL == WavelengthLowBound + curCMFIdx * CMFBinWidth) {
                xbarValue = xbarReferenceValues[curCMFIdx];
                ybarValue = ybarReferenceValues[curCMFIdx];
                zbarValue = zbarReferenceValues[curCMFIdx];
                ++curCMFIdx;
            }
            else {
                uint32_t idx = std::min(uint32_t((curWL - WavelengthLowBound) / CMFBinWidth), NumCMFSamples - 1);
                RealType CMFBaseWL = WavelengthLowBound + idx * CMFBinWidth;
                RealType t = (curWL - CMFBaseWL) / CMFBinWidth;
                xbarValue = (1 - t) * xbarReferenceValues[idx] + t * xbarReferenceValues[idx + 1];
                ybarValue = (1 - t) * ybarReferenceValues[idx] + t * ybarReferenceValues[idx + 1];
                zbarValue = (1 - t) * zbarReferenceValues[idx] + t * zbarReferenceValues[idx + 1];
            }
            
            RealType value;
            if (curWL < MinWavelength) {
                value = values[0];
            }
            else if (curWL > MaxWavelength) {
                value = values[NumWavelengthSamples - 1];
            }
            else if (curWL == MinWavelength + baseIdx * binWidth) {
                value = values[baseIdx];
                ++baseIdx;
            }
            else {
                uint32_t idx = std::min(uint32_t((curWL - MinWavelength) / binWidth), NumWavelengthSamples - 1);
                RealType baseWL = MinWavelength + idx * binWidth;
                RealType t = (curWL - baseWL) / binWidth;
                value = (1 - t) * values[idx] + t * values[idx + 1];
            }
            
            RealType avgValue = (prevValue + value) * 0.5f;
            X += avgValue * (prev_xbarVal + xbarValue) * halfWidth;
            Y += avgValue * (prev_ybarVal + ybarValue) * halfWidth;
            Z += avgValue * (prev_zbarVal + zbarValue) * halfWidth;
            
            prev_xbarVal = xbarValue;
            prev_ybarVal = ybarValue;
            prev_zbarVal = zbarValue;
            prevValue = value;
            RealType prevWL = curWL;
            curWL = std::min(WavelengthLowBound + curCMFIdx * CMFBinWidth,
                             baseIdx < NumWavelengthSamples ? (MinWavelength + baseIdx * binWidth) : INFINITY);
            halfWidth = (curWL - prevWL) * 0.5f;
            
            if (curCMFIdx == NumCMFSamples)
                break;
        }
        XYZ[0] = X / integralCMF;
        XYZ[1] = Y / integralCMF;
        XYZ[2] = Z / integralCMF;
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    ContinuousSpectrumTemplate<RealType, NumSpectralSamples>* 
    UpsampledContinuousSpectrumTemplate<RealType, NumSpectralSamples>::createScaledAndOffset(RealType scale, RealType offset) const {
        if (scale > 0 && offset == 0)
            return new UpsampledContinuousSpectrumTemplate(m_adjIndices, m_s, m_t, this->m_scale * scale);
        else
            return new ScaledAndOffsetUpsampledContinuousSpectrumTemplate<RealType, NumSpectralSamples>(*this, scale, offset);
    }
    
    
    
    template struct SLR_API ScaledAndOffsetUpsampledContinuousSpectrumTemplate<float, NumSpectralSamples>;
    template struct SLR_API ScaledAndOffsetUpsampledContinuousSpectrumTemplate<double, NumSpectralSamples>;
    
    template <typename RealType, uint32_t NumSpectralSamples>
    void ScaledAndOffsetUpsampledContinuousSpectrumTemplate<RealType, NumSpectralSamples>::calcBounds(uint32_t numBins, RealType* bounds) const {
        m_baseSpectrum.calcBounds(numBins, bounds);
        for (int i = 0; i < numBins; ++i)
            bounds[i] = bounds[i] * m_scale + m_offset;
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    SampledSpectrumTemplate<RealType, NumSpectralSamples> 
    ScaledAndOffsetUpsampledContinuousSpectrumTemplate<RealType, NumSpectralSamples>::evaluate(const WavelengthSamplesTemplate<RealType, NumSpectralSamples> &wls) const {
        return m_baseSpectrum.evaluate(wls) * m_scale + SampledSpectrumTemplate<RealType, NumSpectralSamples>(m_offset);
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    void ScaledAndOffsetUpsampledContinuousSpectrumTemplate<RealType, NumSpectralSamples>::evaluate(const RealType* wavelengths, uint32_t numSamples, RealType* values) const {
        m_baseSpectrum.evaluate(wavelengths, numSamples, values);
        for (int i = 0; i < numSamples; ++i)
            values[i] = m_scale * values[i] + m_offset;
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    void ScaledAndOffsetUpsampledContinuousSpectrumTemplate<RealType, NumSpectralSamples>::convertToXYZ(RealType XYZ[3]) const {
        SLRAssert_NotImplemented();
    }
    
    template <typename RealType, uint32_t NumSpectralSamples>
    ContinuousSpectrumTemplate<RealType, NumSpectralSamples>* 
    ScaledAndOffsetUpsampledContinuousSpectrumTemplate<RealType, NumSpectralSamples>::createScaledAndOffset(RealType scale, RealType offset) const {
        // (spectrum * scale0 + offset0) * scale1 + offset1 = spectrum * (scale0 * scale1) + (offset0 * scale1 + offset1)
        return new ScaledAndOffsetUpsampledContinuousSpectrumTemplate(m_baseSpectrum, m_scale * scale, m_offset * scale + offset);
    }
    
    

    template struct SLR_API SampledSpectrumTemplate<float, NumSpectralSamples>;
    template <> SLR_API const uint32_t SampledSpectrumTemplate<float, NumSpectralSamples>::NumComponents = NumSpectralSamples;
    template <> SLR_API const SampledSpectrumTemplate<float, NumSpectralSamples> SampledSpectrumTemplate<float, NumSpectralSamples>::Zero = SampledSpectrumTemplate<float, NumSpectralSamples>(0.0);
    template <> SLR_API const SampledSpectrumTemplate<float, NumSpectralSamples> SampledSpectrumTemplate<float, NumSpectralSamples>::One = SampledSpectrumTemplate<float, NumSpectralSamples>(1.0);
    template <> SLR_API const SampledSpectrumTemplate<float, NumSpectralSamples> SampledSpectrumTemplate<float, NumSpectralSamples>::Inf = SampledSpectrumTemplate<float, NumSpectralSamples>(std::numeric_limits<float>::infinity());
    template <> SLR_API const SampledSpectrumTemplate<float, NumSpectralSamples> SampledSpectrumTemplate<float, NumSpectralSamples>::NaN = SampledSpectrumTemplate<float, NumSpectralSamples>(std::numeric_limits<float>::quiet_NaN());

    template struct SLR_API SampledSpectrumTemplate<double, NumSpectralSamples>;
    template <> SLR_API const uint32_t SampledSpectrumTemplate<double, NumSpectralSamples>::NumComponents = NumSpectralSamples;
    template <> SLR_API const SampledSpectrumTemplate<double, NumSpectralSamples> SampledSpectrumTemplate<double, NumSpectralSamples>::Zero = SampledSpectrumTemplate<double, NumSpectralSamples>(0.0);
    template <> SLR_API const SampledSpectrumTemplate<double, NumSpectralSamples> SampledSpectrumTemplate<double, NumSpectralSamples>::One = SampledSpectrumTemplate<double, NumSpectralSamples>(1.0);
    template <> SLR_API const SampledSpectrumTemplate<double, NumSpectralSamples> SampledSpectrumTemplate<double, NumSpectralSamples>::Inf = SampledSpectrumTemplate<double, NumSpectralSamples>(std::numeric_limits<double>::infinity());
    template <> SLR_API const SampledSpectrumTemplate<double, NumSpectralSamples> SampledSpectrumTemplate<double, NumSpectralSamples>::NaN = SampledSpectrumTemplate<double, NumSpectralSamples>(std::numeric_limits<double>::quiet_NaN());
    
    template SLR_API SampledSpectrumTemplate<float, NumSpectralSamples> min(const SampledSpectrumTemplate<float, NumSpectralSamples> &value, float minValue);
    template SLR_API SampledSpectrumTemplate<double, NumSpectralSamples> min(const SampledSpectrumTemplate<double, NumSpectralSamples> &value, double minValue);
    
    template <typename RealType, uint32_t NumSpectralSamples>
    SampledSpectrumTemplate<RealType, NumSpectralSamples> min(const SampledSpectrumTemplate<RealType, NumSpectralSamples> &value, RealType minValue) {
        SampledSpectrumTemplate<RealType, NumSpectralSamples> ret;
        for (int i = 0; i < NumSpectralSamples; ++i)
            ret[i] = std::min(value[i], minValue);
        return ret;
    }

    template SLR_API SampledSpectrumTemplate<float, NumSpectralSamples> max(const SampledSpectrumTemplate<float, NumSpectralSamples> &value, float maxValue);
    template SLR_API SampledSpectrumTemplate<double, NumSpectralSamples> max(const SampledSpectrumTemplate<double, NumSpectralSamples> &value, double maxValue);
    
    template <typename RealType, uint32_t NumSpectralSamples>
    SampledSpectrumTemplate<RealType, NumSpectralSamples> max(const SampledSpectrumTemplate<RealType, NumSpectralSamples> &value, RealType maxValue) {
        SampledSpectrumTemplate<RealType, NumSpectralSamples> ret;
        for (int i = 0; i < NumSpectralSamples; ++i)
            ret[i] = std::max(value[i], maxValue);
        return ret;
    }

    template SLR_API SampledSpectrumTemplate<float, NumSpectralSamples> lerp(const SampledSpectrumTemplate<float, NumSpectralSamples> &v0,
                                                                             const SampledSpectrumTemplate<float, NumSpectralSamples> &v1,
                                                                             float t);
    template SLR_API SampledSpectrumTemplate<double, NumSpectralSamples> lerp(const SampledSpectrumTemplate<double, NumSpectralSamples> &v0,
                                                                              const SampledSpectrumTemplate<double, NumSpectralSamples> &v1,
                                                                              double t);
    
    template <typename RealType, uint32_t NumSpectralSamples>
    SampledSpectrumTemplate<RealType, NumSpectralSamples> lerp(const SampledSpectrumTemplate<RealType, NumSpectralSamples> &v0, 
                                                               const SampledSpectrumTemplate<RealType, NumSpectralSamples> &v1, 
                                                               RealType t) {
//        return v0 + (v1 - v0) * t; // N adds, N muls, N adds = 2N adds, N muls
        return (1 - t) * v0 + t * v1; // 1 add, N muls, N muls, N adds = N+1 adds, 2N muls + good precision
    }
    
    template SLR_API SampledSpectrumTemplate<float, NumSpectralSamples> sqrt(const SampledSpectrumTemplate<float, NumSpectralSamples> &value);
    template SLR_API SampledSpectrumTemplate<double, NumSpectralSamples> sqrt(const SampledSpectrumTemplate<double, NumSpectralSamples> &value);
    
    template <typename RealType, uint32_t NumSpectralSamples>
    SampledSpectrumTemplate<RealType, NumSpectralSamples> sqrt(const SampledSpectrumTemplate<RealType, NumSpectralSamples> &value) {
        SampledSpectrumTemplate<RealType, NumSpectralSamples> ret;
        for (int i = 0; i < NumSpectralSamples; ++i)
            ret[i] = std::sqrt(value[i]);
        return ret;
    }
    
    template SLR_API SampledSpectrumTemplate<float, NumSpectralSamples> exp(const SampledSpectrumTemplate<float, NumSpectralSamples> &value);
    template SLR_API SampledSpectrumTemplate<double, NumSpectralSamples> exp(const SampledSpectrumTemplate<double, NumSpectralSamples> &value);
    
    template <typename RealType, uint32_t NumSpectralSamples>
    SampledSpectrumTemplate<RealType, NumSpectralSamples> exp(const SampledSpectrumTemplate<RealType, NumSpectralSamples> &value) {
        SampledSpectrumTemplate<RealType, NumSpectralSamples> ret;
        for (int i = 0; i < NumSpectralSamples; ++i)
            ret[i] = std::exp(value[i]);
        return ret;
    }

    
    
    template struct SLR_API DiscretizedSpectrumTemplate<float, NumStrataForStorage>;
    template <> SLR_API const uint32_t DiscretizedSpectrumTemplate<float, NumStrataForStorage>::NumStrata = NumStrataForStorage;
    template <> SLR_API std::unique_ptr<float[]> DiscretizedSpectrumTemplate<float, NumStrataForStorage>::xbar;
    template <> SLR_API std::unique_ptr<float[]> DiscretizedSpectrumTemplate<float, NumStrataForStorage>::ybar;
    template <> SLR_API std::unique_ptr<float[]> DiscretizedSpectrumTemplate<float, NumStrataForStorage>::zbar;
    template <> SLR_API float DiscretizedSpectrumTemplate<float, NumStrataForStorage>::integralCMF;
    template <> SLR_API const DiscretizedSpectrumTemplate<float, NumStrataForStorage> DiscretizedSpectrumTemplate<float, NumStrataForStorage>::Zero = DiscretizedSpectrumTemplate<float, NumStrataForStorage>(0.0);
    template <> SLR_API const DiscretizedSpectrumTemplate<float, NumStrataForStorage> DiscretizedSpectrumTemplate<float, NumStrataForStorage>::One = DiscretizedSpectrumTemplate<float, NumStrataForStorage>(1.0);
    template <> SLR_API const DiscretizedSpectrumTemplate<float, NumStrataForStorage> DiscretizedSpectrumTemplate<float, NumStrataForStorage>::Inf = DiscretizedSpectrumTemplate<float, NumStrataForStorage>(std::numeric_limits<float>::infinity());
    template <> SLR_API const DiscretizedSpectrumTemplate<float, NumStrataForStorage> DiscretizedSpectrumTemplate<float, NumStrataForStorage>::NaN = DiscretizedSpectrumTemplate<float, NumStrataForStorage>(std::numeric_limits<float>::quiet_NaN());

    template struct SLR_API DiscretizedSpectrumTemplate<double, NumStrataForStorage>;
    template <> SLR_API const uint32_t DiscretizedSpectrumTemplate<double, NumStrataForStorage>::NumStrata = NumStrataForStorage;
    template <> SLR_API std::unique_ptr<double[]> DiscretizedSpectrumTemplate<double, NumStrataForStorage>::xbar;
    template <> SLR_API std::unique_ptr<double[]> DiscretizedSpectrumTemplate<double, NumStrataForStorage>::ybar;
    template <> SLR_API std::unique_ptr<double[]> DiscretizedSpectrumTemplate<double, NumStrataForStorage>::zbar;
    template <> SLR_API double DiscretizedSpectrumTemplate<double, NumStrataForStorage>::integralCMF;
    template <> SLR_API const DiscretizedSpectrumTemplate<double, NumStrataForStorage> DiscretizedSpectrumTemplate<double, NumStrataForStorage>::Zero = DiscretizedSpectrumTemplate<double, NumStrataForStorage>(0.0);
    template <> SLR_API const DiscretizedSpectrumTemplate<double, NumStrataForStorage> DiscretizedSpectrumTemplate<double, NumStrataForStorage>::One = DiscretizedSpectrumTemplate<double, NumStrataForStorage>(1.0);
    template <> SLR_API const DiscretizedSpectrumTemplate<double, NumStrataForStorage> DiscretizedSpectrumTemplate<double, NumStrataForStorage>::Inf = DiscretizedSpectrumTemplate<double, NumStrataForStorage>(std::numeric_limits<double>::infinity());
    template <> SLR_API const DiscretizedSpectrumTemplate<double, NumStrataForStorage> DiscretizedSpectrumTemplate<double, NumStrataForStorage>::NaN = DiscretizedSpectrumTemplate<double, NumStrataForStorage>(std::numeric_limits<double>::quiet_NaN());

    // JP: 離散化された等色関数の初期化を行う。
    // EN: initialize discretized color matching functions.
    template <typename RealType, uint32_t NumStrataForStorage>
    void DiscretizedSpectrumTemplate<RealType, NumStrataForStorage>::initialize() {
        xbar = std::unique_ptr<RealType[]>(new RealType[NumStrataForStorage]);
        ybar = std::unique_ptr<RealType[]>(new RealType[NumStrataForStorage]);
        zbar = std::unique_ptr<RealType[]>(new RealType[NumStrataForStorage]);

        uint32_t sBin = 0;
        RealType nextP = RealType(sBin + 1) / NumStrataForStorage;
        RealType xSum = 0, xPrev = xbarReferenceValues[0];
        RealType ySum = 0, yPrev = ybarReferenceValues[0];
        RealType zSum = 0, zPrev = zbarReferenceValues[0];
        const RealType interval = 1;// nm
        for (int i = 1; i < NumCMFSamples; ++i) {
            RealType curP = RealType(i) / (NumCMFSamples - 1);
            RealType width = interval;
            RealType xCur = xbarReferenceValues[i];
            RealType yCur = ybarReferenceValues[i];
            RealType zCur = zbarReferenceValues[i];
            if (curP >= nextP) {
                width = (curP - nextP) * (WavelengthHighBound - WavelengthLowBound);
                RealType t = 1 - width / interval;
                RealType xIn = xPrev * (1 - t) + xCur * t;
                RealType yIn = yPrev * (1 - t) + yCur * t;
                RealType zIn = zPrev * (1 - t) + zCur * t;
                xSum += (xPrev + xIn) * (interval - width) * 0.5f;
                ySum += (yPrev + yIn) * (interval - width) * 0.5f;
                zSum += (zPrev + zIn) * (interval - width) * 0.5f;
                xbar[sBin] = xSum;
                ybar[sBin] = ySum;
                zbar[sBin] = zSum;

                xSum = ySum = zSum = 0;
                xPrev = xIn;
                yPrev = yIn;
                zPrev = zIn;

                ++sBin;
                nextP = RealType(sBin + 1) / NumStrataForStorage;
            }
            xSum += (xPrev + xCur) * width * 0.5f;
            ySum += (yPrev + yCur) * width * 0.5f;
            zSum += (zPrev + zCur) * width * 0.5f;
            xPrev = xCur;
            yPrev = yCur;
            zPrev = zCur;
        }

        integralCMF = 0.0f;
        for (int i = 0; i < NumStrataForStorage; ++i)
            integralCMF += ybar[i];
    }
    
    
    
    template class SLR_API SpectrumStorageTemplate<float, NumStrataForStorage>;
    template class SLR_API SpectrumStorageTemplate<double, NumStrataForStorage>;



    template <>
    const typename UpsampledContinuousSpectrumTemplate<float, NumSpectralSamples>::spectrum_grid_cell_t
        UpsampledContinuousSpectrumTemplate<float, NumSpectralSamples>::spectrum_grid[] = {
            { 0, 5, { 148, 110, 0, 12, 111, UINT8_MAX }},
            { 1, 4, { 0, 1, 12, 13, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 1, 2, 13, 14, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 2, 3, 14, 15, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 3, 4, 15, 16, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 4, 5, 16, 17, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 5, 6, 17, 18, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 6, 7, 18, 19, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 7, 8, 19, 20, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 8, 9, 20, 21, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 9, 10, 21, 22, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 149, 10, 11, 145, 22, UINT8_MAX }},
            { 0, 5, { 150, 111, 12, 23, 112, UINT8_MAX }},
            { 1, 4, { 12, 13, 23, 24, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 13, 14, 24, 25, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 14, 15, 25, 26, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 15, 16, 26, 27, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 16, 17, 27, 28, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 17, 18, 28, 29, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 18, 19, 29, 30, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 19, 20, 30, 31, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 20, 21, 31, 32, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 21, 22, 32, 33, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 151, 22, 145, 146, 33, UINT8_MAX }},
            { 0, 5, { 152, 112, 23, 34, 113, UINT8_MAX }},
            { 1, 4, { 23, 24, 34, 35, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 24, 25, 35, 36, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 25, 26, 36, 37, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 26, 27, 37, 38, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 27, 28, 38, 39, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 28, 29, 39, 40, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 29, 30, 40, 41, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 30, 31, 41, 42, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 31, 32, 42, 43, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 153, 32, 33, 147, 141, 43 }},
            { 0, 4, { 154, 33, 146, 147, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 155, 113, 34, 44, 114, UINT8_MAX }},
            { 1, 4, { 34, 35, 44, 45, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 35, 36, 45, 46, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 36, 37, 46, 47, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 37, 38, 47, 48, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 38, 39, 48, 49, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 39, 40, 49, 50, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 40, 41, 50, 51, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 41, 42, 51, 52, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 42, 43, 52, 53, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 156, 43, 141, 142, 53, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 157, 114, 44, 54, 115, UINT8_MAX }},
            { 1, 4, { 44, 45, 54, 55, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 45, 46, 55, 56, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 46, 47, 56, 57, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 47, 48, 57, 58, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 48, 49, 58, 59, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 49, 50, 59, 60, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 50, 51, 60, 61, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 51, 52, 61, 62, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 52, 53, 62, 63, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 158, 53, 142, 143, 63, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 4, { 159, 115, 54, 116, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 160, 116, 54, 55, 64, 117 }},
            { 1, 4, { 55, 56, 64, 65, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 56, 57, 65, 66, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 57, 58, 66, 67, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 58, 59, 67, 68, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 59, 60, 68, 69, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 60, 61, 69, 70, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 61, 62, 70, 71, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 161, 62, 63, 144, 138, 71 }},
            { 0, 4, { 162, 63, 143, 144, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 163, 117, 64, 72, 118, UINT8_MAX }},
            { 1, 4, { 64, 65, 72, 73, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 65, 66, 73, 74, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 66, 67, 74, 75, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 67, 68, 75, 76, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 68, 69, 76, 77, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 69, 70, 77, 78, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 70, 71, 78, 79, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 164, 71, 138, 139, 79, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 165, 118, 72, 80, 119, UINT8_MAX }},
            { 1, 4, { 72, 73, 80, 81, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 73, 74, 81, 82, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 74, 75, 82, 83, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 75, 76, 83, 84, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 76, 77, 84, 85, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 77, 78, 85, 86, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 166, 78, 79, 140, 134, 86 }},
            { 0, 4, { 167, 79, 139, 140, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 4, { 168, 119, 80, 120, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 169, 80, 81, 87, 121, 120 }},
            { 1, 4, { 81, 82, 87, 88, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 82, 83, 88, 89, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 83, 84, 89, 90, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 84, 85, 90, 91, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 85, 86, 91, 92, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 170, 86, 134, 135, 92, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 171, 121, 87, 93, 122, UINT8_MAX }},
            { 1, 4, { 87, 88, 93, 94, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 88, 89, 94, 95, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 89, 90, 95, 96, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 90, 91, 96, 97, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 91, 92, 97, 98, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 172, 92, 135, 136, 98, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 173, 122, 93, 99, 123, UINT8_MAX }},
            { 1, 4, { 93, 94, 99, 100, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 94, 95, 100, 101, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 95, 96, 101, 102, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 96, 97, 102, 103, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 174, 97, 98, 137, 131, 103 }},
            { 0, 4, { 175, 98, 136, 137, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 4, { 176, 123, 99, 124, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 177, 124, 99, 100, 104, 125 }},
            { 1, 4, { 100, 101, 104, 105, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 101, 102, 105, 106, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 102, 103, 106, 107, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 178, 103, 131, 132, 107, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 4, { 179, 125, 104, 126, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 180, 104, 105, 108, 127, 126 }},
            { 1, 4, { 105, 106, 108, 109, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 181, 106, 107, 133, 129, 109 }},
            { 0, 4, { 182, 107, 132, 133, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 4, { 183, 127, 108, 128, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 184, 108, 109, 130, 128, UINT8_MAX }},
            { 0, 4, { 185, 109, 129, 130, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }}
    };
    // These spectra are obtained under the unity brightness condition that is X + Y + Z = 1.
    template <>
    const typename UpsampledContinuousSpectrumTemplate<float, NumSpectralSamples>::spectrum_data_point_t
        UpsampledContinuousSpectrumTemplate<float, NumSpectralSamples>::spectrum_data_points[] = {
            { { -0.27099054061447164, -0.2239932880224914 }, { 0.9999999999999991, 0.0 }, { 0.0235752249097, 0.0235750574421, 0.0235735715155, 0.0235706137197, 0.0235646459351, 0.0235536018775, 0.0235342681042, 0.0234979638354, 0.023432791063, 0.0233123658849, 0.0231023883593, 0.0227269235682, 0.0220624861341, 0.0209185865463, 0.0190658999322, 0.0163996526827, 0.0130154537381, 0.00918699267936, 0.00533187809557, 0.00202877994959, 2.23976687078e-18, 4.84373143909e-18, 0.0, 0.0, 2.75219533409e-18, 0.0, 0.0, 2.25754629086e-18, 2.76474387678e-17, 0.0, 0.0, 5.25334995494e-17, 0.0, 0.0, 2.08818085653e-17, 9.36430469021e-18, 2.79989387693e-17, 0.0, 1.3730404075e-17, 0.0, 0.0, 2.37074992816e-17, 1.79521221632e-17, 2.50395644703e-17, 0.0, 0.0, 5.49720479547e-18, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.67741388312e-05, 0.000576888882235, 0.0012437905596, 0.00190604528823, 0.00249194375439, 0.00297104676893, 0.00334423578909, 0.00362999513873, 0.00384396156, 0.00400066234295, 0.00411331424415, 0.0041952132498, 0.00425296346044, 0.00429188443402, 0.00431988512696, 0.00434128401566, 0.00435472241065, 0.00436444181549, 0.00437151645891, 0.00437667079822, 0.00437981097616, 0.00438212613909, 0.00438388365049, 0.00438419565199, 0.00438468759213, 0.00438553224182, 0.00438576302993, 0.00438565200661, 0.00438635364687, 0.00438577181686, 0.00438594750385, 0.00438654211129, 0.00438646478932, 0.00438607418927, 0.00438570598713, 0.00438620200186, 0.00438582030762, 0.00438484310044, 0.0043846791411, 0.0043849062089 } },
            { { -0.21679243249157729, -0.2239932880224914 }, { 2.0, 0.0 }, { 0.0232802873368, 0.0232781131808, 0.0232758848865, 0.0232738721405, 0.0232691034545, 0.0232572582174, 0.0232339995926, 0.0231921542954, 0.0231171243319, 0.0229797950162, 0.0227415144923, 0.0223156955151, 0.0215620067702, 0.0202667055983, 0.0181898528933, 0.0152468443157, 0.0115851605069, 0.00757734951233, 0.00378131560504, 0.000945824008606, 0.0, 4.15974774811e-18, 0.0, 0.0, 0.0, 1.989392675e-18, 0.0, 1.00858843464e-17, 2.48819210583e-17, 0.0, 0.0, 1.67375778329e-17, 4.65203795696e-17, 0.0, 6.08826768407e-18, 4.4144339656e-17, 7.74668672639e-17, 8.81877765122e-18, 0.0, 0.0, 0.0, 1.60715997255e-17, 3.38565157067e-17, 1.53476017295e-17, 0.0, 0.0, 0.0, 1.22446024064e-17, 1.49602959144e-17, 0.0, 1.56082761191e-17, 0.0, 0.0, 1.88112782695e-18, 0.000849049738298, 0.00245311905546, 0.00429098287432, 0.00605457498196, 0.00758957003933, 0.00884769503572, 0.00983403934826, 0.0105829950566, 0.0111420359618, 0.0115552611597, 0.0118575073103, 0.0120730452082, 0.0122254125555, 0.0123337488711, 0.0124105584967, 0.0124654293265, 0.0125042138092, 0.0125304935447, 0.0125481770831, 0.0125605401877, 0.0125700671822, 0.0125777476603, 0.0125823224774, 0.0125836064477, 0.0125839200407, 0.0125851008685, 0.0125870516546, 0.0125878426224, 0.0125870351771, 0.0125853032774, 0.0125844616086, 0.0125850422882, 0.012585860075, 0.01258649976, 0.0125864478046, 0.0125866986012, 0.0125870523286, 0.0125880066122, 0.0125889088033, 0.0125895513382, 0.0125893344651 } },
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            { { 0.06524684764317006, 0.41998741504217135 }, { 7.203858398437501, 11.5 }, { 0.0, 0.0, 4.2754898569e-19, 0.0, 5.59197722155e-19, 1.1036638664e-18, 5.84996376044e-19, 1.74647378376e-19, 8.12873274656e-20, 2.99524893506e-18, 0.0, 0.0, 0.0, 1.84159211535e-17, 9.90563144752e-18, 0.0, 0.0, 6.82464339167e-18, 1.52768818462e-17, 1.53134600561e-17, 0.0, 0.0, 1.71127813164e-17, 0.0, 6.0461448917e-18, 7.64565913261e-18, 0.0, 7.8065789432e-18, 0.00134995820753, 0.00439509778268, 0.00831719916113, 0.0123640176685, 0.0158957112752, 0.0184721227239, 0.0198915448973, 0.020102602371, 0.0191445409408, 0.017143895122, 0.014310845483, 0.0109384610377, 0.00738169278132, 0.0040586302226, 0.00143406489685, 3.84764914699e-18, 0.0, 1.12733911849e-17, 0.0, 0.0, 9.91450653252e-18, 0.0, 1.21963458415e-18, 0.0, 5.31494040078e-19, 0.0, 9.2434060101e-18, 0.0, 1.6528608468e-17, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.05765565712e-18, 1.62562936734e-18, 6.00281004171e-19, 8.2874652366e-19, 2.23667856953e-18, 2.10044285994e-18, 2.59681298748e-18, 2.05687091956e-18, 1.85418404275e-18, 1.31600156749e-18, 1.00234206681e-18, 0.0, 0.0, 4.66291637463e-19, 8.09177200903e-19, 5.50711892197e-19, 2.23841935177e-07, 1.01727550585e-18, 3.4346105249e-19, 6.31299304726e-07, 6.11309894509e-07, 5.54222082218e-07, 4.90008559987e-19, 2.34204609916e-19, 1.35941224918e-06, 3.19090111578e-07, 2.43977530196e-07, 1.47171974585e-18, 7.94694208918e-07, 1.57970882237e-06, 2.91169150441e-07, 7.23551245428e-07 } },
            { { -0.11892889168380434, 0.4650668298587564 }, { 3.8056634114583328, 12.305013671874999 }, { 0.0, 1.19526005771e-16, 1.62063615198e-17, 0.0, 0.0, 1.1357641122e-17, 0.0, 0.0, 0.0, 9.51560359016e-18, 0.0, 6.40418745842e-16, 0.0, 0.0, 1.57508510363e-16, 0.0, 0.0, 3.34343342852e-16, 4.02783416344e-16, 0.0, 9.47884206834e-17, 0.0, 0.0, 1.15740544892e-16, 0.0, 0.0, 0.002156589815, 0.0213865029756, 0.0443369951573, 0.061319129266, 0.0657049053366, 0.054910327547, 0.0321894967818, 0.00806950920716, 1.51208427115e-16, 2.64885683628e-16, 1.75266173184e-16, 2.33001854575e-16, 0.0, 0.0, 6.73978224179e-18, 0.0, 0.0, 0.0, 1.49769354113e-16, 0.0, 4.36391475902e-16, 8.56473201759e-17, 3.00062647373e-16, 0.0, 3.7392471684e-16, 7.12508102982e-18, 4.76638571961e-16, 4.66923922123e-17, 0.0, 2.4535507232e-16, 0.0, 0.0, 0.0, 5.62961693014e-17, 0.0, 0.0, 0.0, 0.0, 6.98399065813e-18, 1.19622090954e-17, 1.95838193717e-17, 1.4697160237e-17, 5.09820655243e-18, 1.74831938686e-18, 1.14642753192e-17, 3.16974878993e-18, 2.97257807279e-18, 0.0, 2.1305686051e-18, 0.0, 0.0, 3.15106306911e-19, 6.26348994292e-18, 2.22017795674e-18, 9.67633599997e-19, 0.0, 0.0, 0.0, 0.0, 4.40099750901e-18, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 } },
            { { -0.08570077964046263, 0.480634057135496 }, { 4.418749609375, 12.583008203124997 }, { 1.10690583418e-16, 1.2004673591e-16, 0.0, 0.0, 0.0, 3.20070472537e-18, 8.1782765737e-18, 1.16017363131e-17, 0.0, 0.0, 0.0, 0.0, 6.49012771055e-17, 0.0, 0.0, 1.4264238181e-16, 8.107719211e-17, 1.11261246901e-16, 7.53883436253e-18, 1.54183210517e-17, 0.0, 5.39167747286e-17, 5.15656224712e-18, 0.0, 0.0, 0.0, 0.00512611922256, 0.0164932849779, 0.029500006492, 0.0405883703101, 0.0469739237635, 0.046832444646, 0.0397770058842, 0.0273611567049, 0.0131074131812, 0.00202856185596, 0.0, 0.0, 0.0, 0.0, 0.0, 1.34609053799e-16, 6.01345409023e-17, 7.15587821539e-17, 9.10604825678e-17, 1.24933537504e-16, 4.06529258791e-17, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.4765626542e-17, 5.31586603889e-17, 9.62390013224e-17, 4.13937135059e-17, 7.11926246375e-17, 0.0, 2.44628549246e-17, 1.47294739353e-17, 2.02567694396e-17, 6.16291574362e-18, 2.56949598055e-17, 9.48368644469e-18, 2.57882523804e-17, 2.33989774263e-18, 7.0749197536e-18, 1.67286193709e-18, 2.80932777441e-18, 0.0, 4.74743039807e-18, 2.1708539775e-18, 6.10040327054e-19, 2.24504311515e-18, 4.84405228448e-18, 0.0, 1.27979223779e-18, 0.0, 1.36597102161e-18, 1.91620786824e-18, 5.66485047212e-18, 5.26650523026e-18, 6.40099254626e-18, 6.22145699758e-18, 1.73726457482e-18, 3.33477305493e-18, 4.43765116196e-18, 0.0, 0.0, 0.0, 1.81440227537e-07, 2.3391730222e-07, 6.60510559926e-07 } },
            { { 0.02647452672101075, 0.47289053917065604 }, { 6.488476953125001, 12.444726953124999 }, { 2.89552277338e-17, 1.22246145415e-17, 5.12001718257e-18, 1.07100629133e-18, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 9.73159038739e-18, 1.10568519081e-17, 0.0, 5.41352438639e-17, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.10380427278e-17, 3.81053061037e-17, 2.88448397676e-18, 6.13931121296e-18, 4.69759958986e-18, 8.34466763649e-18, 1.82046720766e-17, 0.00350569733382, 0.0091387518214, 0.0154553080564, 0.0211710502237, 0.0252543664141, 0.0271077650481, 0.0266194141564, 0.0240017449686, 0.0196709528708, 0.014238859654, 0.00850615122789, 0.00344438908594, 0.000185614983487, 0.0, 1.84371090984e-17, 0.0, 0.0, 4.49642622667e-19, 0.0, 5.96009151295e-18, 0.0, 0.0, 2.21924709591e-17, 1.38122831947e-18, 1.04314518263e-17, 1.15400944833e-17, 2.22229969737e-18, 2.35631156122e-17, 0.0, 1.22798077217e-17, 0.0, 1.21677826593e-18, 0.0, 5.21827887409e-18, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.93294769707e-19, 0.0, 8.80780647083e-19, 0.0, 0.0, 1.93027052052e-18, 3.66110009101e-18, 3.65645117037e-18, 1.41185796823e-18, 3.88746542717e-19, 0.0, 0.0, 0.0, 1.49331908601e-18, 1.55334525239e-20, 4.29252191698e-19, 1.14942370942e-18, 0.0, 8.83243605749e-19, 8.59743170385e-08, 2.52338345602e-07, 0.0, 1.36287601213e-18, 3.33887330078e-07, 1.04236242595e-08, 0.0, 3.02127556826e-07 } },
            { { 0.056738679726381684, 0.452160966584023 }, { 7.046875651041668, 12.074544921874999 }, { 3.62526317428e-17, 0.0, 7.46747310954e-17, 3.68787429097e-17, 1.16863292518e-17, 0.0, 1.87423137704e-17, 6.67970742482e-18, 3.2094506931e-17, 0.0, 2.9129217866e-17, 0.0, 1.10375324395e-16, 7.5866840465e-17, 0.0, 0.0, 4.30400862309e-17, 0.0, 0.0, 2.42357350364e-18, 0.0, 7.05729308219e-17, 0.0, 0.0, 1.79372747726e-17, 5.93177459988e-17, 0.0, 2.54509546917e-17, 2.77355495236e-17, 0.0, 0.00432817977244, 0.0116050358938, 0.0189399751501, 0.0244265694912, 0.0272168534553, 0.0271019614005, 0.0242606252249, 0.0192373389382, 0.0129360770232, 0.00658352356946, 0.00168915879544, 1.54618459218e-17, 0.0, 1.01532578234e-16, 0.0, 9.72164493174e-17, 0.0, 2.44923925123e-17, 0.0, 0.0, 0.0, 0.0, 1.48694097861e-17, 0.0, 5.20083850192e-17, 0.0, 4.32597042301e-17, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.68076969899e-18, 3.21695015608e-18, 0.0, 0.0, 1.06274705308e-19, 7.77785117679e-19, 4.71805243482e-19, 0.0, 2.23203665918e-18, 0.0, 4.75321914684e-19, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 2.1713358595e-07, 0.0, 7.53381583365e-08, 4.61304271067e-07, 0.0 } },
            { { -0.07057048857024528, 0.5168178833008018 }, { 4.697916015625, 13.229167317708333 }, { 0.0, 0.0, 1.49350337151e-18, 0.0, 0.0, 0.0, 1.7757899593e-17, 0.0, 0.0, 1.3202238429e-16, 0.0, 0.0, 0.0, 6.18003958445e-17, 2.46923154643e-16, 0.0, 0.0, 0.0, 2.90722045721e-16, 4.56150248379e-16, 2.5709223386e-16, 0.0, 0.0, 1.89252475986e-16, 0.0, 2.62537655495e-17, 5.88155046202e-17, 0.000194520474386, 0.017901156425, 0.0400808857619, 0.056786161883, 0.0611484666217, 0.0508469276919, 0.0297507275055, 0.00792234366961, 0.0, 1.42210755052e-17, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.07357994985e-17, 0.0, 1.86371605978e-16, 0.0, 7.07280993156e-16, 5.98902362143e-16, 5.63065576995e-17, 0.0, 0.0, 1.24076617198e-16, 0.0, 0.0, 0.0, 0.0, 4.28217094056e-17, 0.0, 0.0, 2.67355330307e-17, 1.6134670218e-17, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.19642485158e-18, 1.86723428656e-17, 3.78633528962e-17, 9.19145961808e-18, 1.60029378266e-17, 2.64945763959e-17, 4.49448294087e-17, 5.13946129241e-17, 5.96308521698e-18, 5.72023066554e-18, 3.49977372338e-17, 2.64689325687e-17, 2.8753057739e-17, 4.36196556848e-17, 4.99156515817e-17, 3.19585530999e-17, 2.42666469059e-17, 2.91548740445e-17, 1.26589073967e-17, 1.35234295486e-06, 1.76928242022e-17, 1.94850004901e-07, 6.76478211137e-07, 1.12131086055e-07, 5.25363715205e-17 } },
            { { -0.027099054061447154, 0.5199805671765496 }, { 5.5, 13.285645507812498 }, { 0.0, 0.0, 6.07265705841e-18, 3.9153869335e-17, 6.83811136486e-17, 0.0, 0.0, 0.0, 3.07346290343e-18, 0.0, 0.0, 5.86640946215e-17, 4.87236563565e-17, 0.0, 2.03692193867e-16, 8.25853813172e-17, 2.05167163295e-16, 0.0, 0.0, 0.0, 9.16487509458e-17, 0.0, 0.0, 0.0, 1.88425216355e-17, 1.48907006499e-16, 5.36069325598e-17, 0.0, 0.00589945366203, 0.0190864839713, 0.0333085268483, 0.0434567619073, 0.0461464975023, 0.0405966566374, 0.02876398135, 0.0145256837616, 0.00290032063089, 0.0, 0.0, 0.0, 0.0, 3.53546675364e-17, 3.50847217616e-17, 0.0, 0.0, 5.99434869722e-17, 0.0, 0.0, 0.0, 8.68237138275e-17, 0.0, 2.41273035908e-17, 0.0, 0.0, 1.80307907587e-17, 3.3243708225e-16, 0.0, 0.0, 7.67709713998e-18, 0.0, 1.32828058609e-18, 3.81245562332e-17, 1.59112225539e-17, 0.0, 3.21069732606e-18, 5.4267112542e-18, 1.50624159284e-18, 1.29172063243e-17, 1.69517555487e-17, 3.03450803994e-18, 0.0, 8.22338766334e-18, 6.03361343313e-18, 5.33292285628e-18, 1.01821259368e-17, 4.40248399964e-18, 1.32481432448e-18, 5.5313309151e-18, 1.42957355822e-17, 1.94896341982e-17, 3.72430681112e-17, 4.72858193556e-17, 5.29088129974e-17, 6.63362919368e-17, 5.75269908697e-17, 7.06090150172e-17, 7.97139783054e-17, 8.93608125852e-17, 9.41070857904e-17, 1.0089581182e-16, 1.24107653141e-16, 1.26196474196e-16, 7.14451389961e-08, 1.42002108992e-16, 1.56143092963e-07 } },
            { { 0.00799213911975501, 0.5124794716350015 }, { 6.147461588541667, 13.151693359374999 }, { 0.0, 0.0, 5.9028150984e-17, 2.4148259161e-17, 7.33782385489e-19, 5.1495633281e-19, 0.0, 0.0, 0.0, 1.24555310684e-16, 0.0, 0.0, 8.0947092227e-17, 0.0, 2.85552942798e-16, 3.79293282628e-17, 1.75439650523e-16, 9.48147955674e-17, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.17570610275e-17, 0.0, 1.89832968732e-16, 3.02236409156e-17, 0.00343331735201, 0.0161116168426, 0.0302737051622, 0.0399553784569, 0.0421084900475, 0.0367704671098, 0.0260161865074, 0.013146818451, 0.00260714356432, 4.87484335223e-17, 1.35130396249e-17, 0.0, 7.0348110131e-17, 0.0, 0.0, 0.0, 0.0, 2.15577648516e-18, 0.0, 3.8542181272e-17, 8.09724774405e-17, 0.0, 5.3705677499e-17, 1.69195129186e-17, 4.95787220673e-17, 0.0, 1.52709578819e-18, 1.20188561418e-16, 1.10149199749e-16, 1.58658682513e-17, 8.50934848694e-17, 1.27212667281e-17, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 8.44860852869e-19, 0.0, 2.02743838698e-18, 8.07967423944e-19, 0.0, 0.0, 3.38857815821e-18, 4.44598098865e-18, 2.97536332608e-18, 1.21798100383e-18, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.54789701537e-07, 0.0, 9.74875998126e-07, 5.13423710649e-09, 0.0, 1.50355738636e-06, 2.56189755346e-07 } }
    };



    template <>
    const typename UpsampledContinuousSpectrumTemplate<double, NumSpectralSamples>::spectrum_grid_cell_t
        UpsampledContinuousSpectrumTemplate<double, NumSpectralSamples>::spectrum_grid[] = {
            { 0, 5, { 148, 110, 0, 12, 111, UINT8_MAX }},
            { 1, 4, { 0, 1, 12, 13, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 1, 2, 13, 14, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 2, 3, 14, 15, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 3, 4, 15, 16, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 4, 5, 16, 17, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 5, 6, 17, 18, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 6, 7, 18, 19, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 7, 8, 19, 20, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 8, 9, 20, 21, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 9, 10, 21, 22, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 149, 10, 11, 145, 22, UINT8_MAX }},
            { 0, 5, { 150, 111, 12, 23, 112, UINT8_MAX }},
            { 1, 4, { 12, 13, 23, 24, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 13, 14, 24, 25, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 14, 15, 25, 26, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 15, 16, 26, 27, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 16, 17, 27, 28, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 17, 18, 28, 29, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 18, 19, 29, 30, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 19, 20, 30, 31, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 20, 21, 31, 32, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 21, 22, 32, 33, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 151, 22, 145, 146, 33, UINT8_MAX }},
            { 0, 5, { 152, 112, 23, 34, 113, UINT8_MAX }},
            { 1, 4, { 23, 24, 34, 35, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 24, 25, 35, 36, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 25, 26, 36, 37, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 26, 27, 37, 38, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 27, 28, 38, 39, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 28, 29, 39, 40, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 29, 30, 40, 41, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 30, 31, 41, 42, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 31, 32, 42, 43, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 153, 32, 33, 147, 141, 43 }},
            { 0, 4, { 154, 33, 146, 147, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 155, 113, 34, 44, 114, UINT8_MAX }},
            { 1, 4, { 34, 35, 44, 45, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 35, 36, 45, 46, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 36, 37, 46, 47, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 37, 38, 47, 48, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 38, 39, 48, 49, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 39, 40, 49, 50, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 40, 41, 50, 51, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 41, 42, 51, 52, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 42, 43, 52, 53, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 156, 43, 141, 142, 53, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 157, 114, 44, 54, 115, UINT8_MAX }},
            { 1, 4, { 44, 45, 54, 55, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 45, 46, 55, 56, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 46, 47, 56, 57, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 47, 48, 57, 58, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 48, 49, 58, 59, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 49, 50, 59, 60, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 50, 51, 60, 61, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 51, 52, 61, 62, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 52, 53, 62, 63, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 158, 53, 142, 143, 63, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 4, { 159, 115, 54, 116, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 160, 116, 54, 55, 64, 117 }},
            { 1, 4, { 55, 56, 64, 65, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 56, 57, 65, 66, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 57, 58, 66, 67, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 58, 59, 67, 68, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 59, 60, 68, 69, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 60, 61, 69, 70, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 61, 62, 70, 71, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 161, 62, 63, 144, 138, 71 }},
            { 0, 4, { 162, 63, 143, 144, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 163, 117, 64, 72, 118, UINT8_MAX }},
            { 1, 4, { 64, 65, 72, 73, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 65, 66, 73, 74, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 66, 67, 74, 75, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 67, 68, 75, 76, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 68, 69, 76, 77, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 69, 70, 77, 78, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 70, 71, 78, 79, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 164, 71, 138, 139, 79, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 165, 118, 72, 80, 119, UINT8_MAX }},
            { 1, 4, { 72, 73, 80, 81, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 73, 74, 81, 82, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 74, 75, 82, 83, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 75, 76, 83, 84, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 76, 77, 84, 85, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 77, 78, 85, 86, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 166, 78, 79, 140, 134, 86 }},
            { 0, 4, { 167, 79, 139, 140, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 4, { 168, 119, 80, 120, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 169, 80, 81, 87, 121, 120 }},
            { 1, 4, { 81, 82, 87, 88, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 82, 83, 88, 89, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 83, 84, 89, 90, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 84, 85, 90, 91, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 85, 86, 91, 92, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 170, 86, 134, 135, 92, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 171, 121, 87, 93, 122, UINT8_MAX }},
            { 1, 4, { 87, 88, 93, 94, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 88, 89, 94, 95, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 89, 90, 95, 96, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 90, 91, 96, 97, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 91, 92, 97, 98, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 172, 92, 135, 136, 98, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 173, 122, 93, 99, 123, UINT8_MAX }},
            { 1, 4, { 93, 94, 99, 100, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 94, 95, 100, 101, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 95, 96, 101, 102, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 96, 97, 102, 103, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 174, 97, 98, 137, 131, 103 }},
            { 0, 4, { 175, 98, 136, 137, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 4, { 176, 123, 99, 124, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 177, 124, 99, 100, 104, 125 }},
            { 1, 4, { 100, 101, 104, 105, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 101, 102, 105, 106, UINT8_MAX, UINT8_MAX }},
            { 1, 4, { 102, 103, 106, 107, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 178, 103, 131, 132, 107, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 4, { 179, 125, 104, 126, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 180, 104, 105, 108, 127, 126 }},
            { 1, 4, { 105, 106, 108, 109, UINT8_MAX, UINT8_MAX }},
            { 0, 6, { 181, 106, 107, 133, 129, 109 }},
            { 0, 4, { 182, 107, 132, 133, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 4, { 183, 127, 108, 128, UINT8_MAX, UINT8_MAX }},
            { 0, 5, { 184, 108, 109, 130, 128, UINT8_MAX }},
            { 0, 4, { 185, 109, 129, 130, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }},
            { 0, 0, { UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX, UINT8_MAX }}
    };
    // These spectra are obtained under the unity brightness condition that is X + Y + Z = 1.
    template <>
    const typename UpsampledContinuousSpectrumTemplate<double, NumSpectralSamples>::spectrum_data_point_t
        UpsampledContinuousSpectrumTemplate<double, NumSpectralSamples>::spectrum_data_points[] = {
            { { -0.27099054061447164, -0.2239932880224914 }, { 0.9999999999999991, 0.0 }, { 0.0235752249097, 0.0235750574421, 0.0235735715155, 0.0235706137197, 0.0235646459351, 0.0235536018775, 0.0235342681042, 0.0234979638354, 0.023432791063, 0.0233123658849, 0.0231023883593, 0.0227269235682, 0.0220624861341, 0.0209185865463, 0.0190658999322, 0.0163996526827, 0.0130154537381, 0.00918699267936, 0.00533187809557, 0.00202877994959, 2.23976687078e-18, 4.84373143909e-18, 0.0, 0.0, 2.75219533409e-18, 0.0, 0.0, 2.25754629086e-18, 2.76474387678e-17, 0.0, 0.0, 5.25334995494e-17, 0.0, 0.0, 2.08818085653e-17, 9.36430469021e-18, 2.79989387693e-17, 0.0, 1.3730404075e-17, 0.0, 0.0, 2.37074992816e-17, 1.79521221632e-17, 2.50395644703e-17, 0.0, 0.0, 5.49720479547e-18, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 6.67741388312e-05, 0.000576888882235, 0.0012437905596, 0.00190604528823, 0.00249194375439, 0.00297104676893, 0.00334423578909, 0.00362999513873, 0.00384396156, 0.00400066234295, 0.00411331424415, 0.0041952132498, 0.00425296346044, 0.00429188443402, 0.00431988512696, 0.00434128401566, 0.00435472241065, 0.00436444181549, 0.00437151645891, 0.00437667079822, 0.00437981097616, 0.00438212613909, 0.00438388365049, 0.00438419565199, 0.00438468759213, 0.00438553224182, 0.00438576302993, 0.00438565200661, 0.00438635364687, 0.00438577181686, 0.00438594750385, 0.00438654211129, 0.00438646478932, 0.00438607418927, 0.00438570598713, 0.00438620200186, 0.00438582030762, 0.00438484310044, 0.0043846791411, 0.0043849062089 } },
            { { -0.21679243249157729, -0.2239932880224914 }, { 2.0, 0.0 }, { 0.0232802873368, 0.0232781131808, 0.0232758848865, 0.0232738721405, 0.0232691034545, 0.0232572582174, 0.0232339995926, 0.0231921542954, 0.0231171243319, 0.0229797950162, 0.0227415144923, 0.0223156955151, 0.0215620067702, 0.0202667055983, 0.0181898528933, 0.0152468443157, 0.0115851605069, 0.00757734951233, 0.00378131560504, 0.000945824008606, 0.0, 4.15974774811e-18, 0.0, 0.0, 0.0, 1.989392675e-18, 0.0, 1.00858843464e-17, 2.48819210583e-17, 0.0, 0.0, 1.67375778329e-17, 4.65203795696e-17, 0.0, 6.08826768407e-18, 4.4144339656e-17, 7.74668672639e-17, 8.81877765122e-18, 0.0, 0.0, 0.0, 1.60715997255e-17, 3.38565157067e-17, 1.53476017295e-17, 0.0, 0.0, 0.0, 1.22446024064e-17, 1.49602959144e-17, 0.0, 1.56082761191e-17, 0.0, 0.0, 1.88112782695e-18, 0.000849049738298, 0.00245311905546, 0.00429098287432, 0.00605457498196, 0.00758957003933, 0.00884769503572, 0.00983403934826, 0.0105829950566, 0.0111420359618, 0.0115552611597, 0.0118575073103, 0.0120730452082, 0.0122254125555, 0.0123337488711, 0.0124105584967, 0.0124654293265, 0.0125042138092, 0.0125304935447, 0.0125481770831, 0.0125605401877, 0.0125700671822, 0.0125777476603, 0.0125823224774, 0.0125836064477, 0.0125839200407, 0.0125851008685, 0.0125870516546, 0.0125878426224, 0.0125870351771, 0.0125853032774, 0.0125844616086, 0.0125850422882, 0.012585860075, 0.01258649976, 0.0125864478046, 0.0125866986012, 0.0125870523286, 0.0125880066122, 0.0125889088033, 0.0125895513382, 0.0125893344651 } },
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